非常高能光子的平均自由程的修正：由于相对论变形动力学
Modification of the mean free path of very high energy photons due to a relativistic deformed kinematics
AI总结：
本文研究了高能光子在与宇宙微波背景低能光子相互作用时，由于相对论变形动力学引起的平均自由程修正，探讨其对检验狭义相对论偏差的实验敏感性。
摘要：
超高能物理即将因像“大型高空空气 shower 观测站”（LHAASO）等实验的出色成果而进入新纪元，这些实验能够探测高达1.4×10^15 eV（PeV量级）的光子。这些新结果可用于测试相对于狭义相对论的偏差。虽然这已经在洛伦兹不变性破坏（LIV）理论的框架内被探索过，但本文首次考虑了由于相对论变形动力学（出现在双特殊相对论，或DSR，理论中）引起的修正。特别是，我们研究了高能光子由于与宇宙微波背景中的低能光子相互作用而产生电子-正电子对时的平均自由程。根据相对论变形动力学的能量尺度，现有（或即将进行）的实验可能足够敏感，能够识别出相对于狭义相对论的偏差。
英文摘要：
Ultra-high-energy physics is about to enter a new era thanks to the impressive results of experiments such as the "Large High Altitude Air Shower Observatory" (LHAASO), detecting photons of up to $1.4\times 10^{15}$ eV (PeV scale). These new results could be used to test deviations with respect to special relativity. While this has been already explored within the approach of Lorentz Invariance Violation (LIV) theories, in this work we consider, for the first time, modifications due to a relativistic deformed kinematics (which appear in Doubly Special Relativity, or DSR, theories). In particular, we study the mean free path of very high-energy photons due to electron-positron pair creation when interacting with low-energy photons of the cosmic microwave background. Depending on the energy scale of the relativistic deformed kinematics, present (or near future) experiments can be sensitive enough to be able to identify deviations from special relativity.
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